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Finding the Fourth Proportional to 7,233.48, 10,849 and 2,038.14

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Solution

The fourth proportional to 7,233.48, 10,849 and 2,038.14 is: 3,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.48 : 10,849 = 2,038.14 : x
  2. Step 2: Convert to fraction form
    7,233.48/10,849 = 2,038.14/x
  3. Step 3: Cross multiply
    7,233.48x = 10,849 × 2,038.14
  4. Step 4: Simplify right side
    7,233.48x = 22,111,780.86
  5. Step 5: Solve for x
    x = 22,111,780.86/7,233.48
  6. Step 6: Final answer
    x = 3,056.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.